Hallo can any of you do some math...:-)
I have a problem I just can not solve,
1) I need to find a and b in the formula
2) find the direction and radius then Peter has "worked" 3 km arc line
Peter must treasure hunt in the woods and have been told that he can find the treasure to closely follow the path of a logarithmic Spira, at a given starting point. If he walk 3 km, on the arc line. He will find the treasure.
Peter knows a logarithmic spiral is as follows:
Startpunkt=STARTPOINT
He has also been told that when he has revolved around 180 degrees (marked with A in the figure), he is 86.23 meters from where he started, and after 360 degrees (marked with B in the figure), he is 75.41 meters where he started.
Fortunately, Peter also knows the formula for a logarithmic spiral:
, and he assumes that the starting point corresponds to Theta = zero.
With this knowledge puts Peter down first and count (long) on the figures. Then he prepared for the trip, and he does not actually become dizzy by.
Taygoo - Have tried to solve this in days now...:-)